| Yazarlar |
Dr. Öğr. Üyesi Sibel DEMİRALP
Kastamonu Üniversitesi, Türkiye |
| Özet |
| By constructing Hopf costructures on closure spaces via homotopy, we give the concepts of closure Hopf cospace (CH-cospace) and closure Hopf cogroup (CH-cogroup). We then prove that retract and deformation retract of a CH-cospace are also a CH-cospace. We construct a Hopf costructure on a set with the help of the quotient closure operator. We also show that a closure space with the same homotopy type as a CH-cogroup is itself a CH-cogroup. We prove the existence of a covariant functor between the homotopy category of the pointed closure spaces (CHC) and the category of groups and homomorphisms. |
| Anahtar Kelimeler |
| closure space | Homotopy | Hopf cospace |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayımlanan tam makale |
| Dergi Adı | Turkish Journal of Mathematics and Computer Science |
| Dergi ISSN | 2148-1830 |
| Dergi Tarandığı Indeksler | TR DİZİN |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2022 |
| Cilt No | 14 |
| Sayı | 2 |
| Sayfalar | 321 / 330 |
| Doi Numarası | 10.47000/tjmcs.1091039 |
| Makale Linki | https://dergipark.org.tr/tr/download/article-file/2322924 |
